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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Integration is differentiable


Author: Allan Gottlieb
Journal: Proc. Amer. Math. Soc. 53 (1975), 167-171
MSC: Primary 58C20; Secondary 34A25
MathSciNet review: 0385915
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Abstract: The integration map taking vector fields to flows is well known to be continuous. In this paper an elementary proof is given that the map is actually smooth if the domain and range are given appropriate topologies.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0385915-0
PII: S 0002-9939(1975)0385915-0
Article copyright: © Copyright 1975 American Mathematical Society